Abstract
We give a weighted version of the Sobolev-Lieb-Thirring inequality for suborthonormal functions. In the proof of our result we use $\varphi$-transform of Frazier-Jawerth.
Citation
Kazuya Tachizawa. "Weighted Sobolev-Lieb-Thirring inequalities." Rev. Mat. Iberoamericana 21 (1) 67 - 85, March, 2005.
Information
Published: March, 2005
First available in Project Euclid: 22 April 2005
zbMATH: 1078.26011
MathSciNet: MR2155014
Subjects:
Primary:
26D15
,
42B25
,
42C15
Keywords:
$\varphi$-transform
,
$A_p$-weights
,
Sobolev-Lieb-Thirring inequalities
Rights: Copyright © 2005 Departamento de Matemáticas, Universidad Autónoma de Madrid